Least Common Multiple of 700/904, 614/909, 492/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 700/904, 614/909, 492/573 quickly i.e. 26432700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 700/904, 614/909, 492/573 is 26432700.

LCM(700/904, 614/909, 492/573) = 26432700

LCM of 700/904, 614/909, 492/573

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 700/904,614/909,492/573

Given numbers are 700/904,614/909,492/573

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 700,614,492

Least Common Multiple of Numerators i.e. LCM of 700,614,492 is 26432700.

GCF of Denominators means GCF of 904,909,573 as per the given fractions.

GCF of 904,909,573 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 700,614,492

LCM of Fractions 700/904,614/909,492/573 is 26432700

2 700, 614, 492
2 350, 307, 246
175, 307, 123

∴ So the LCM of the given numbers is 2 x 2 x 175 x 307 x 123 = 26432700

Least Common Multiple of 700,614,492 with GCF Formula

Least Common Multiple of 700,614,492 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 700,614,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,614,492) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(700,614,492) x common factors =2 x 4 = 8

LCM(700,614,492) = ( 700 × 614 × 492 ) / 8

LCM(700,614,492) = 211461600 / 8

LCM(700,614,492) = 26432700


Lets's calculate GCF of 904,909,573

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26432700/1

Therefore the LCM of Fractions 700/904,614/909,492/573 is 26432700

Greatest Common Factor of 904,909,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 904,909,573 By Matching Biggest Common Factor Method

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 904,909,573 . The biggest common factor number is the GCF number.
So the greatest common factor 904,909,573 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 700/904, 614/909, 492/573

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 700/904, 614/909, 492/573?

Answer: LCM of Numerators as per given numbers 700/904, 614/909, 492/573 is

LCM of Numerators i.e. for 700,614,492 is 26432700

GCF of denominators i.e. for 904,909,573 is 1.

Thus, LCM of Fractions is 26432700.Finally, LCM of Fractions for 700/904, 614/909, 492/573 is 26432700.